Introduction to the concepts used in the modern treatment of solids. The student is assumed to be familiar with elementary quantum mechanics. Topics include: bonding in solids, crystal structures, lattice vibrations, free electron model of metals, band structure, thermal properties, magnetism and superconductivity (time permitting)

The paper version is missing a couple sub-problems from chapter I, as the figures were too complicated (or large?) for kindle-direct-publishing to process.

Contributing.

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Contents:

Copyright

Document Version

Dedication

Preface

Contents

List of Figures

Lecture Notes

1 Bonding

1.1 Chemical bonding in solids

1.2 Covalent bonding

1.3 Ionic bonding

1.4 Metallic bonding

1.5 Transition metals

1.6 Problems

2 Lattice structure and diffraction

2.1 Periodicity

2.2 Crystal structures

2.3 Point group symmetry

2.4 Simple crystal structures

2.5 General theory of diffraction

2.6 Reciprocal lattice

2.7 Constructive interference

2.8 Ewald sphere

2.9 Scattering in terms of lattice points

2.10 Bragg condition

2.11 Structure factor

2.12 Brillouin zones

2.13 Problems

3 Phonons

3.1 Phonons

3.2 3D potentials for real solids

3.3 Problems

4 Thermal properties

4.1 Thermal properties

4.2 lattice energy

4.3 Density of states

4.4 Isotropic model (Debye)

4.5 Thermal energy of a harmonic oscillator

4.6 Lattice specific heat capacity

4.7 Problems

5 Free electron model

5.1 Free electron model of metals

5.2 Fermi Dirac distribution for T > 0

5.3 Heat capacity of free electrons

5.4 Thomas-Fermi screening

5.5 Problems

6 Electronic bandstructure

6.1 Electrons in a periodic lattice

6.2 Nearly free electron model

6.3 Tight binding model

6.4 Three dimensional band structures, Fermi surfaces of real metals

6.5 Problems

7 Electrical conductivity

7.1 Semiconductors

7.2 Density of states

7.3 Electrical transport

7.4 Electric current

7.5 Problems

8 Electron scattering

8.1 Electron-phonon scattering

8.2 Electron-electron scattering

9 Semiconductor physics

9.1 Conduction and valence bands

9.2 Doped semiconductors

9.3 Problems

10 Superconductivity

10.1 Superconductivity overview

10.2 London equations, and perfect conductors

10.3 Cooper pairing

10.4 BCS theory

Appendixes

A Huygens diffraction

B Discrete Fourier transform

C Exponential solutions to second order linear system

C.1 Motivation

C.2 Matrix methods

C.3 Fourier transform methods

C.4 Reflection

D Fourier coefficient integral for periodic function

E Mathematica notebooks

Bibliography

Changelog:

V0.1.9:

Switch to 6×9 format for Kindle Direct Publishing.

Remove blanks before and after equations. Some may be appropriate but most are not.